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Finding the Fourth Proportional to 11,477.60, 17,206.49 and 9,519.56

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Solution

The fourth proportional to 11,477.60, 17,206.49 and 9,519.56 is: 14,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.60 : 17,206.49 = 9,519.56 : x
  2. Step 2: Convert to fraction form
    11,477.60/17,206.49 = 9,519.56/x
  3. Step 3: Cross multiply
    11,477.60x = 17,206.49 × 9,519.56
  4. Step 4: Simplify right side
    11,477.60x = 163,798,216.24
  5. Step 5: Solve for x
    x = 163,798,216.24/11,477.60
  6. Step 6: Final answer
    x = 14,271.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.